2040444291600 has 3840 divisors, whose sum is σ = 9820171468800. Its totient is φ = 394149888000.

The previous prime is 2040444291593. The next prime is 2040444291601. The reversal of 2040444291600 is 61924440402.

It is a happy number.

2040444291600 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 4 + 42 + 9 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2040444291601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 18719672346 + ... + 18719672454.

It is an arithmetic number, because the mean of its divisors is an integer number (2557336320).

Almost surely, 2^{2040444291600} is an apocalyptic number.

2040444291600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040444291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910085734400).

2040444291600 is an abundant number, since it is smaller than the sum of its proper divisors (7779727177200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2040444291600 is a wasteful number, since it uses less digits than its factorization.

2040444291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2040444291600 in words is "two trillion, forty billion, four hundred forty-four million, two hundred ninety-one thousand, six hundred".